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Fast Solution of Multi-Scale Antenna Problems for the Square Kilometre Array (SKA) Radio Telescope using the characteristic basis function method (CBFM)

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APPLIED COMPUTATIONAL ELECTROMAGNETICS SOCIETY JOURNAL 2009年第2期24卷 174-188页

作者： Maaskant, Rob Mittra, Raj Tijhuis, Anton Netherlands Inst Radio Astron ASTRON NL-7990 AA Dwingeloo Netherlands Penn State Univ Electromagnet Commun Labs University Pk PA 16802 USA Eindhoven Univ Technol Fac Elect Engn NL-5600 MB Eindhoven Netherlands

We present a numerically efficient technique, called the characteristic basis function method (CBFM), for computing the scan impedances of antenna elements located inside an electrically large subarray, which is surrounded by (many) other actively phase-steered subarrays. We construct a reduced moment matrix for a single subarray, and modify its entries in a manner that accounts for the mutual coupling between the surrounding subarrays. This enables us to circumvent the difficult problem of having to deal with the entire large array geometry in one step and reduces the total solve time significantly. Furthermore, the reduced moment matrix can be constructed in a time-efficient manner by exploiting the translation symmetry between pairs of characteristic basis functions (CBFs). However, since we propose an overlapping domain decomposition technique for arrays of electrically interconnected antenna elements, symmetry can only be exploited if the mesh partitioning facilitates a one-to-one mapping of CBFs. To fully utilize the translation symmetry, a strategy has been developed to mesh the structure and to take advantage of this geometrical property. A numerical example is presented for a large array of subarrays of Tapered Slot Antennas (TSAs). The proposed method has good accuracy, excellent numerical efficiency, and reduced memory storage requirement.

关键词： characteristic basis function method Moment methods Scan Impedance Tapered Slot Antennas Square Kilometre Array

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Fast and Accurate Analysis of Reflector Antennas With Phased Array Feeds Including Multiple Reflections Between Feed and Reflector

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IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION 2014年第7期62卷 3450-3462页

作者： Iupikov, Oleg A. Maaskant, Rob Ivashina, Marianna V. Young, Andre Kildal, Per-Simon Chalmers Univ Technol Signals & Syst Dept S-41258 Gothenburg Sweden Univ Stellenbosch Elect & Elect Engn Dept ZA-7602 Stellenbosch South Africa

Several electrically large phased array feed (PAF) reflector systems are modeled to examine the mechanism of multiple reflections between parabolic reflectors and low-and high-scattering feeds giving rise to frequency-dependent patterns and impedance ripples. The PAF current is expanded in physics-based macro domain basis functions (CBFs), while the reflector employs the physical optics (POs) equivalent current. The reflector-feed coupling is systematically accounted for through a multiscattering Jacobi approach. An FFT expands the reflector radiated field in only a few plane waves, and the reflector PO current is computed rapidly through a near-field interpolation technique. The FEKO software is used for several cross validations, and the convergence properties of the hybrid method are studied for several representative examples showing excellent numerical performance. The measured and simulated results for a 121-element Vivaldi PAF, which is installed on the Westerbork Synthesis Radio Telescope, are in very good agreement.

关键词： characteristic basis function method method of moments (MoM) phased array feeds (PFAs) physical optics (POs) radio astronomy

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Scattering Analysis of the Microstrip Array Antenna by Using the PMCHWT-CBFM

Scattering Analysis of the Microstrip Array Antenna by Using...

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Conference on International Symposium on Electromagnetic Compatibility Tokyo

作者： Tanaka, Tai Nishioka, Yasuhiro Inasawa, Yoshio Miyashita, Hiroaki Mitsubishi Electr Corp Informat Technol R&D Ctr Kamakura Kanagawa Japan

ISBN: (纸本)9784885522871

The PMCHWT-CBFM (characteristic basis function method) is one of the effective numerical method for radar cross section (RCS) analysis of the electric large scatterer in terms of memory consumption. We analyzed and measured the monostatic RCS of 64-element microstrip array antenna considered as the terminal condition by using the above method. By comparing the conventional PMCHWT and experimental results with the PMCHWT-CBFM results, they agreed well with each other.

关键词： characteristic basis function method PMCHWT radar cross section array antenna

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Verification of the PMCHWT-CBFM for Scattering Analysis of a Microstrip Array Antenna 8

Verification of the PMCHWT-CBFM for Scattering Analysis of a...

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8th European Conference on Antennas and Propagation (EuCAP)

作者： Tanaka, Tai Nishioka, Yasuhiro Inasawa, Yoshio Miyashita, Hiroaki Mitsubishi Electr Corp Kamakura Kanagawa Japan

ISBN: (纸本)9788890701849

This paper describes the PMCHWT-characteristic basis function method (CBFM) to analyze the scattering characteristics of a microstrip array antenna. The PMCHWT-CBFM is an effective numerical method in terms of memory consumption. To validate the effectiveness of the PMCHWT-CBFM, we analyzed the monostatic radar cross section characteristics of a 64-element microstrip array antenna, which is considered as the terminal condition, using the PMCHWT-CBFM and conventional PMCHWT. Both results agreed well with each other;thus, the effectiveness was verified.

关键词： radar cross section characteristic basis function method array antenna PMCHWT

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Verification of the PMCHWT-CBFM for Scattering Analysis of a Microstrip Array Antenna

Verification of the PMCHWT-CBFM for Scattering Analysis of a...

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European Conference on Antennas and Propagation

作者： Tai Tanaka Yasuhiro Nishioka Yoshio Inasawa Hiroaki Miyashita Mitsubishi Electric Corporation

ISBN: (纸本)9781479924318

关键词： Radar cross section characteristic basis function method Array antenna PMCHWT

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An efficient de-embedding technique for evaluating the S-parameters of microwave circuits and printed antennas

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MICROWAVE AND OPTICAL TECHNOLOGY LETTERS 2013年第6期55卷 1266-1270页

作者： Bianconi, Giacomo Pelletti, Chiara Mittra, Raj Penn State Univ Dept Elect Engn State Coll PA 16803 USA

In this article, we present an efficient de-embedding technique based on the characteristic basis function method for an accurate evaluation of the generalized S-parameters for microstrip circuits and antennas etched on layered media. Numerical examples are provided to demonstrate the reliability and computational efficiency of the described procedure. (c) 2013 Wiley Periodicals, Inc. Microwave Opt Technol Lett 55:12661270, 2013;View this article online at ***. DOI 10.1002/mop.27549

关键词： characteristic basis functions characteristic basis function method de-embedding electromagnetic analysis method of moments

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Size reduction technique for the marching-on-in-order time-domain integral equation method in analysis of transient electromagnetic scattering

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IET MICROWAVES ANTENNAS & PROPAGATION 2012年第5期6卷 541-548页

作者： Wang, Q-Q. Shi, Y. -F. Zhang, H. -H. Chen, R. -S. Nanjing Univ Sci & Technol Dept Commun Engn Nanjing 210094 Jiangsu Peoples R China

The aggregative basis functions (ABFs) are introduced to construct a size-reduced system for the marching-on-in-order (MOO) time-domain integral equation (TDIE) method to analyse transient electromagnetic scattering from conducting objects. Based on the previously developed characteristic basis function method (CBFM), a set of orthogonal vectors that expand the original unknown current coefficients are obtained via the singular value decomposition (SVD). The ABF method can be considered as an application and counterpart of CBFM in TDIE with some differences. The ABFs are aggregations of the weighted Laguerre polynomials and RWG basis functions, which are the elemental temporal and spatial basis functions, respectively. The ABFs are defined over the entire geometry and effective in each order of the MOO scheme. The proposed method gives significant reduction to matrix size and also the storage by several orders of magnitude. This is achieved because of the much less number of ABFs or the orthogonal vectors than the inner edges of the geometry. Several numerical results are presented to illustrate the validity of the proposed method.

关键词： conducting object matrix size elemental temporal function SVD stochastic processes size-reduced system ABF method Other topics in statistics MOO TDIE method integral equations Algebra polynomials Mathematical analysis size reduction technique electromagnetic wave scattering characteristic basis function method orthogonal vector RWG basis function Electromagnetic wave propagation CBFM weighted Laguerre polynomials singular value decomposition transient electromagnetic scattering marching-on-in-order time-domain integral equation method aggregative basis functions spatial basis function

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Optimization of Block Size for CBFM in MoM

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IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION 2012年第10期60卷 4719-4724页

作者： Konno, Keisuke Chen, Qiang Sawaya, Kunio Sezai, Toshihiro Tohoku Univ Dept Elect & Commun Engn Sendai Miyagi 9808579 Japan Japan Aerosp Explorat Agcy Tokyo 1008260 Japan

The optimum number of blocks of the CBFM is derived theoretically and demonstrated numerically. The minimum order of CPU time for the CBFM is shown to be O(N-7/3), where N is the number of unknowns. In addition, the o... 详细信息

关键词： characteristic basis function method method of moments

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A new technique for efficient and accurate analysis of FSSs, EBGs and metamaterials

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MICROWAVE AND OPTICAL TECHNOLOGY LETTERS 2012年第4期54卷 1108-1116页

作者： Mittra, Raj Pelletti, Chiara Tsitsas, Nikolaos L. Bianconi, Giacomo Penn State Univ Dept Elect Engn State Coll PA 16803 USA

The article presents a numerically efficient and accurate technique for the analysis of doubly-infinite periodic arrays, which find applications as frequency selective surfaces, electronic bandgap structures and metamaterials that often utilize periodic elements with fine features. The method derives its efficiency by projecting the solution to the infinite array problem from that of a corresponding truncated array of relatively small size, typically comprising of only four to six rings. Furthermore, it reduces the matrix size needed to solve for the induced current to only two or three. Another feature of the method is that it involves reciprocity principle to compute the reflection and transmission coefficients of the array, using a technique that avoids the need to integrate the currents induced on the unit cell via the periodic Green's function, as well as the evaluation of the latter integral in the far-field. The results derived are compared with commercial software tools to assess the validity of the approach and to demonstrate the time advantage of the present scheme over the existing techniques. (c) 2012 Wiley Periodicals, Inc. Microwave Opt Technol Lett 54:11081116, 2012;View this article online at ***. DOI 10.1002/mop.26730

关键词： frequency selective surfaces doubly-periodic array characteristic basis function method

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Generation of Excitation-Independent characteristic basis functions for Three-Dimensional Homogeneous Dielectric Bodies

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IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION 2011年第9期59卷 3318-3327页

作者： Laviada, Jaime Pino, Marcos R. Las-Heras, Fernando Univ Oviedo Dept Ingn Elect Res Grp Signal Theory & Commun Gijon Spain Univ Oviedo Dept Ingn Elect Res Grp Signal Theory & Commun TSC UNIOVI Gijon Spain Univ Oviedo Tech Sch Engn Gijon Spain

The aim of this paper is the development of characteristic basis functions (CBFs) for homogeneous dielectric bodies that are modeled with the surface equivalence principle. This approach contributes to generalize the characteristic basis function method (CBFM) for any kind of material. The foundations for the generation of these new basis functions are widely revised and the CBFM is adapted for this purpose. The validity of the method is illustrated with the systematic analysis of canonical geometries as well as with the computation of the specific absorption rate inside a head-like geometry. In all the cases, the error in the current distribution as well as in the near- and far-field is considered. In addition, a detailed comparison of the generation of the CBFs using plane waves and spherical waves is also carried out.

关键词： characteristic basis function method dielectrics method of moments

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